Random Multiplicative Functions: Past, Present, And Future
发布时间：2025年10月27日
浏览次数：7
发布者: Xiaoni Tan
主讲人： William Verreault (University of Toronto)
活动时间： 从 2025-10-28 14:00 到 16:00
场地： Room 77201, Jingchunyuan 78, BICMR
Recent interactions between probability and number theory proved fruitful. In particular, random multiplicative functions (RMFs) are random models for partial sums of the Möbius function and Dirichlet characters, which are related to L-functions like the Riemann zeta function. In this talk, I will present the past, present, and future of RMFs: their history, known results, and current work on the moments and distribution of these partial sums of RMFs, as well as a look at the connections with random matrices that are likely to lead to major breakthroughs in the upcoming years.
